Title of article :
A general construction of Reed-Solomon codes based on generalized discrete Fourier transform
Author/Authors :
Sahami, Najme Department of mathematical sciences - University of Kashan, Kashan Isfahan, Iran , Mazrooei, Majid Department of mathematical sciences - University of Kashan, Kashan Isfahan, Iran
Abstract :
In this paper, we employ the concept of the Generalized Discrete Fourier Transform, which in turn relies on the Hasse derivative of polynomials, to give a general construction of Reed-Solomon codes over Galois fields of characteristic not necessarily co-prime with the length of the code. The constructed linear codes enjoy nice algebraic properties just as the classic one.
Keywords :
Reed-Solomon Codes , Linear Codes , Hasse Derivatives , Generalized Discrete Fourier Transform
Journal title :
Astroparticle Physics
